A gear train is a mechanical system formed by mounting gears on a frame so the teeth of the gears engage.
Gear teeth are designed to ensure the pitch circles of engaging gears roll on each other without slipping, providing a smooth transmission of rotation from one gear to the next. Features of gears and gear trains include:
The ratio of the pitch circles of mating gears defines the speed ratio and the mechanical advantage of the gear set.
A planetary gear train provides high gear reduction in a compact package.
It is possible to design gear teeth for gears that are non-circular, yet still transmit torque smoothly.
The speed ratios of chain and belt drives are computed in the same way as gear ratios. See bicycle gearing.
The transmission of rotation between contacting toothed wheels can be traced back to the Antikythera mechanism of Greece and the south-pointing chariot of China. Illustrations by the Renaissance scientist Georgius Agricola show gear trains with cylindrical teeth. The implementation of the involute tooth yielded a standard gear design that provides a constant speed ratio.
Hello! How do I find the final velocity of a car moving initially at 30.63 m/s after it has moved 45m. Over the 45 meters, It has only 1 opposing force, drag force. Ignore the force of static friction propelling it foward. However, this drag force is decreasing since this car is slowing down so...
The portion from the text : I copy and paste the portion from the text. After discussing a situation where the result should be symmetric, he discusses one where we should not expect the answer to be symmetric. In this case, he means that were we to substitute the values of the masses, that is...
Here is the problem statement along with the figure.
Here, I take the right-ward and anti-clockwise directions to be positive.
After the ball collides with the wall, its angular velocity remains the same and its velocity changes direction while remaining the same in magnitude.
Using the...
a = 9.8*sin(25*pi/180)=>a=4.1417 m/s^2
vf^2=vi^2+2*a*s=>vf=sqrt(0^2+2*4.1417*3)=>vf=4.9850 m/s
Meanwhile the correct answer is:
(vf+vi)/2=>(vf+0)/2=2=>vf=4 m/s
Why is my answer wrong? It seems that the acceleration is what is wrong, but I don't understand why.
For calculating the total impulse, I'm taking the individual impact force times the elapsed time and adding them all together to get the total impulse. Given F = 25N, ## \Delta t_1 =3 secs##, ##\Delta t_2 = 4secs##, ## \Delta t_3 = 5secs##, ## \Delta t_4 = 6secs##.
$$ Impulse 1 = F \Delta t_1 $$...
Note: wording is ambiguous so I assumed spring started from equilibrium, in which case it stretches as we go downslope. Final height (at lower point on slope) is 0.
Distance along slope = Distance the spring stretches = d= ##s_f## = ##2/cos{\theta}## =2.13
Height change = h = ##2 tan{\theta}##...
When a tomato is thrown up with a velocity ##v_0## it’s kinetic energy is 1/2mv_0^2. It will stop at the top and then again comes back to the launch point where it’s kinetic energy will be same as before, 1/2mv_0^2. How is this possible?
Also when we throw the tomato up how can you be so sure...
Hello!
I have done this problem :
vf^2 = (4.0x10^5)^2 + 2(6.0x10^12)(5x10^-3)
so vf= sqrt((4.0x10^5)^2 + 2(6.0x10^12)(5x10^-3))
I get vf = 4.7 x 10^5 m/s
However, the textbook solutions says vf = 8.7x10^5 m/s.
Where did I go wrong?
Thank you for any help! :)
I first calculated initial velocity:
√7.09^2+1.07^2=7.17028
acceleration=√7.22^2+2.47^2= 7.63
then i substituted all values into this equation:
final velocity=initial velocity + acceleration x time
so, final velocity=82.0285
so the magnitude=
final velocity-initial velocity= 74.858271
is...
I chose coordinates where down is positive. So the force going up is $$F_{up} = mg - cv^2$$
$$a = g + \frac{c}{m}v^2$$
$$a = g + \frac{c}{m}v^2$$
$$a = g \left(1 + \frac{v^2}{v_t^2}\right)$$
$$a = \frac{dv}{dt} = v\frac{dv}{dy} = g \left(1 + \frac{v^2}{v_t^2}\right)$$
I used normal separation of...
I determined 42m to be the hypotenuse so I used sine law to find the height of the incline, 10.87m. I used this height in the equation Ei=Ef, since they should be equal.
Ei=Ef
mgh=1/2mv^2 (at the start there is no kinetic energy, at rest. at the end there is only kinetic, no potential)...
First I calculated the y component of the initial velocity vector:
vy1 = 8.5 m/s * sin32
= 4.7 m/s
next the change in distance
Δd = d2 - d1
= 3.6m - 1.4m
= 2.2m
Then I put these numbers into the equation v2y^2 = v1y^2 + 2aydy
v2y^2 = (4.7 m/2)^2 + 2(-9.8 m/s^2)(2.2m)...
So after not being able to solve this problem I did some researching online. I was looking around and came across this video, where they give the following equations for solving for the final velocities of both balls:
v1f=((m1-m2)/(m1+m2))*v1i
v2f=(2m1/(m1+m2))*v1i
I plugged in my numbers and...
Hi there,
Just asking a logistics question since I want to be sure I am approaching this problem correctly.
My professor showed me an example of a bullet being fired from a barrel, given its initial velocity was 0. The change in time was 0.1 seconds. The mass of the bullet is 0.02 kg. The...
Problem Statement: The motorcycle is traveling at 40 m/s when it is at A. If the speed is then decreased at v'=-(0.05s)m/s^2, where s is in meters measured from A, determine its speed and acceleration when it reaches B. I attached a picture of the problem.
Relevant Equations: S = S_0 + v_0(t)...
A 0.1 kg arrow is moving at 48 m/s to the right and strike a 3 kg object (helmet resting on a 5 kg head) moving to the left towards the arrow at 9 m/s (full mounted charge). It takes 80 Joules to penetrate the 3 kg helmet, what is the velocity of the arrow after penetration when it slams into...
Homework Statement
Someone shot the bullet perpendicular to the ground. And there is air resistance.
Velocity of bullet is
v^2 = Ae^(-2kx)-g/k upward
v^2 = g/k-Be^(2kx) downward
A,B is constant, g is a gravitational acceleration, k = c2/m , c2 is a resistance constant, m is a mass...
The problem is asking me to find the final speed of a 1100 kg car traveling at 24 m/s through 18m of mud, where the resistive force on the car is 17000 N.
I don't actually know how to go about doing this, so any pointers in the right direction would be super helpful.
1. A baseball of mass 0.30kg is pitched at 70m/s (fwd) at a batter. The ball knocks the stationary 1.7kg ball out of the batters hands and the ball rebounds at 48m/s (backwards). What is the final velocity of the bat as it leaves the batters hand?
variables
m1 = 0.30 vi= 70 vf = -48
m2= 1.7...
Homework Statement
A particle with the mass m moves in one dimension. It is in rest when t=0 and affects later after a by The time dependent force. F(t) =F0*e^(-at) where F0 and a is constants. When The time is really big The particels velocity get close to a spesific value. What is it...
I am currently in grade 12, and for a physics project (a huge project, which gets assigned to you at the start of the semester and needs to be completed just before exams. You think up your project, make a proposal for it and you prove your hypothesis to be right after a presentation and lab...
I have a question which asks me if an object with a mass of 2250kg starts from rest at the top of a frictionless ramp 10m long and is at an angle of 10 degrees horizontally, what is the velocity of the object the moment it reaches the bottom of the ramp?
I have been trying to work out this...
Homework Statement
Two blocks have a spring compressed between them, Block A (mass 1kg) and block B (mass 3kg) . The spring has force constant 720 N>m and is
initially compressed 0.225 m from its original length. For each
block, what is (a) the acceleration just after the blocks are released...
Homework Statement
A ball was thrown from a cliff, it reached to the ground after 2.5 seconds.
a) Find the height of the cliff.
b) Find the horizontal distance the ball reached.
Homework Equations
Δy = 2⋅g⋅t^2
Vfy = g⋅t
√(Vfy)^2+(Vfx)^2
Δx= Vx⋅t
The Attempt at a Solution
I've found Δy=30.6m...
Homework Statement
A particle of mass 7.3 × 10−5 g and charge 24 mC moves in a region of space where the electric field is uniform and is 6.3 N/C in the x direction and zero in the y and z direction. If the initial velocity of the particle is given by vy = 4.1 × 105 m/s, vx = vz = 0, what is...
I am making a physics simulator and this problem is tricky. You have two freely moving objects with known masses and velocities in a frictionless environment. The first object is a ball and the second is a pipe. They are moving toward each other. I need to know what formulas are used to simulate...
Homework Statement
Homework Equations
change in momentum = m1v1 = m1v1+m2v2
center of mass = m1x + m2x / (total mass)
The Attempt at a Solution
m1v1= m2v2 + m3v3
m1 = 2
v1 = 4
m2 = m1 divided by 2
m3 = m3 divided by 2[/B]
2*4 = 1*12 + 1v3
v3 = -4
v3= -4? in the x directioncenter of mass...
Homework Statement
The skier leaves with 10 m/s
What is the final velocity parallel to the track when it is hit?
Homework Equations
The Attempt at a Solution
I have already found out d which is 21,27m and the time for the movement which is 1.6s.
I can also find the impact velocity, but how am...
Homework Statement
Prove that in the elastic collision of two objects of identical mass, with one being a target initially at rest, the angle between their final velocity vectors is always 90 degrees.
Homework Equations
m1v1+m2v2 = m1v1'+m2v2'
1/2m1v1^2 +1/2m2v2^2 = 1/2m1v1'^2 + 1/2m2v2'^2...
Homework Statement
Four protons (each with mass 1.7 10-27 kg and charge 1.6 10-19 C) are initially held at the corners of a square that is 7.1 10-9 m on a side. They are then released from rest. What is the speed of each proton when the protons are very far apart? (You may assume that the...
<Moderator's note: Moved from a technical forum and thus no template.>
So, i have this sample problem to reference to :
A stone is thrown from the top of a building with an initial velocity of 20 m/s downward. The top of the building is 60 m above the ground. How much time elapses between the...
Homework Statement
A ball, thrown upward, leaves the thrower's hand at a height of 0.8m with a velocity of 5m/s.
How fast is the ball moving just before it hits the ground? (assume the thrower moves out of the way)?
Homework Equations
Could someone check my work to make sure I have the...
Homework Statement
A car is moving with a constant velocity of 18 m/s for 5 seconds, if in the next 5 seconds it travels a distance of 40 m, what is its final velocity?
Homework Equations
Δx= vit+ 1/2 at^2
vf= vi+at
vf^2 = vi^2 + 2a (Δx)
The Attempt at a Solution
So I tried doing it different...
Homework Statement
A rock that is thrown upward from a bridge with an initial velocity of 2.0 m/s. (Assume there is no air drag: a = -10m/s2).
a) If the rock takes 4.0 s to hit the water below once the rock is released. What is the final velocity of the rock as it hits the water?
b) How high...
I am not sure how to approach a problem involving the friction coefficient when only given initial velocity, final velocity, and distance traveled. I could combine the friction and kinematic equations, but I am only familiar with doing that for one velocity...
Here is the specific problem I had...
Homework Statement
Consider the arrangment of charges (fixed in place) shown in the figure. The square has side length d. (Figure 1)
Now suppose the particle with charge q is released. It is "kicked" so that it's initial speed is v. After an unspecified trajectory, it is observed that the...
As in the title, I'm trying to establish the approximate velocity (sans friction and other losses) of a pellet propelled by compressed gas from a tank. Below is what I have came up with myself, I would appreciate if someone could review this as say whether the end values are reasonable.
I have...
Homework Statement
If a positron (or electron antiparticle) beam is accelerated across a potential of 20 kV, find the final velocity v of the particles. Do this problem TWICE, once using MKS units (J for energy) and a second time using "modern" units (eV for energy). Use the following values...
THE VELOCITY BEFORE IT HIT THE TREE* typo
1. Homework Statement
the car took 0.35 sec to stop
it weighs 975kg
the force on the car during the crash was 25,000
The Attempt at a Solution
i think i may have found impulse but don't know how to go from there
Homework Statement
We have a ramp with some angle theta. The metallic bar sitting on a ramp at height h. Also, we have some weight that attached by a rope to a metallic bar while hanging on the height h. There is a magnetic field with a magnitude B and direction k.
M = metallic bar
m = weight...
Homework Statement
A hockey puck of mass 0.16kg has initial velocity of 2.0m/s[E] and collides with another puck that is initially at rest, has mass of 0.17kg. Once they collide the first puck travels 1.5m/s[N 31 E]. Find final velocity of second puck.
Homework EquationsThe Attempt at a...
Homework Statement
The figure shows a two-ended “rocket” that is initially stationary on a frictionless floor, with its center at the origin of an x axis. The rocket consists of a central block C (of mass M = 6.40 kg) and blocks L and R (each of massm = 1.90 kg) on the left and right sides...
Homework Statement
A block of 10 kg is pulled by a force of 100 N at and angle 30 degrees above the horizonal through a distance of 4 meters. Kinetic friction has a coefficient of 0.3.
How much work does friction do in that distance?
If its speed is 3 m/s at point a, what is its speed at point...
Homework Statement
Bob passes a 0.220kg puck with an initial velocity of 12m/s [South] to Dave. Dave one-times the puck with a force of 368N [N30E] if Daves stick is in contact with the puck for 0.250s what is the final velocity?
Homework Equations
i honestly don't know where to start with...
Homework Statement
A rock is thrown from a cliff that is 50m long with an initial velocity of 7m/s and an angle of 53, find the rock's veloctity before it hits the ground
Homework Equations
vfy=sin(theta)*vi-gt
vf^2=(vi*sin(theta))^2-2gy
The Attempt at a Solution
x=vi*cos()t
t=x/(vi*cos)...
Homework Statement
You are driving your 1000-kg car at a velocity of(19 m/s )ι^ when a 9.0-g bug splatters on your windshield. Before the collision, the bug was traveling at a velocity of (-1.5 m/s )ι^.
What is the change in velocity of the car due to its encounter with the bug?Homework...
Homework Statement
Two balls collide in a perfectly elastic collision. Ball 1 has a mass of 3.5kg and is initially traveling at a velocity of 5.4m/s. It collides head-on with stationary ball 2 with mass 4.8kg. Determine the final velocity of ball 2.
Given: m1=3.5kg
vi1=5.4m/s
m2=4.8kg...
Homework Statement
Two freight trains have a completely inelastic collision at a track crossing. Engine 1 has a mass of 1.4x10^4 kg and is initially traveling at 45 km/h [N].
Engine 2 has a mass of 1.5x10^4 kg and is initially traveling at 53 km/h [W]. Calculate the final velocity.
Homework...
Homework Statement
Cart 1 has a mass of 1.5 kg and is moving on a track at 36.5 cm/s [E] toward cart 2. The mass of cart 2 is 5 kg, and it is moving toward cart 1 at 42.8 cm/s [W]. The carts collide. The collision is cushioned by a Hooke's law spring, making it an elastic head-on collision...